Monitoring Quantum Simulators via Quantum Non-Demolition Couplings to Atomic Clock Qubits
arXiv:2006.00214 · doi:10.1103/PRXQuantum.1.020302
Abstract
We discuss monitoring the time evolution of an analog quantum simulator via a quantum non-demolition (QND) coupling to an auxiliary `clock' qubit. The QND variable of interest is the `energy' of the quantum many-body system, represented by the Hamiltonian of the quantum simulator. We describe a physical implementation of the underlying QND Hamiltonian for Rydberg atoms trapped in tweezer arrays using laser dressing schemes for a broad class of spin models. As an application, we discuss a quantum protocol for measuring the spectral form factor of quantum many-body systems, where the aim is to identify signatures of ergodic vs. non-ergodic dynamics, which we illustrate for disordered 1D Heisenberg and Floquet spin models on Rydberg platforms. Our results also provide the physical ingredients for running quantum phase estimation protocols for measurement of energies, and preparation of energy eigenstates for a specified spectral resolution on an analog quantum simulator.
arXiv comment19 pages, 11 figures, accepted for publication in PRX Quantum
References in corpus (75)
- Quantum information with Rydberg atoms
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Fast quantum gates for neutral atoms
- The many-body localization phase transition
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Many-body localization edge in the random-field Heisenberg chain
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Exploring the many-body localization transition in two dimensions
- Many-body localization in a quantum simulator with programmable random disorder
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Experimental Observation of a Generalized Gibbs Ensemble
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Probing entanglement entropy via randomized measurements
- Synthetic three-dimensional atomic structures assembled atom by atom
- Black Holes and Random Matrices
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- Probing entanglement in a many-body-localized system
- Spectral signatures of many-body localization with interacting photons
- ARC: An open-source library for calculating properties of alkali Rydberg atoms
- Digitized adiabatic quantum computing with a superconducting circuit
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- Quantum chaos challenges many-body localization
- High-Fidelity Entanglement and Detection of Alkaline-Earth Rydberg Atoms
- Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
- Many-body interferometry of a Rydberg-dressed spin lattice
- Verified Quantum Information Scrambling
- Entangling Atomic Spins with a Strong Rydberg-Dressed Interaction
- Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
- Site-resolved measurement of the spin-correlation function in the Hubbard model
- Strongly correlated gases of Rydberg-dressed atoms: quantum and classical dynamics
- Mesoscopic Rydberg Gate based on Electromagnetically Induced Transparency
- Solution of a minimal model for many-body quantum chaos
- Effective operator formalism for open quantum systems
- Quantum computing with alkaline earth atoms
- Emulating many-body localization with a superconducting quantum processor
- Chaos, Complexity, and Random Matrices
- A Rydberg blockade CNOT gate and entanglement in a 2D array of neutral atom qubits
- Alkaline earth atoms in optical tweezers
- Spectral statistics in spatially extended chaotic quantum many-body systems
- Microscopic control and detection of ultracold strontium in optical-tweezer arrays
- Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
- Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
- Seconds-scale coherence in a tweezer-array optical clock
- Coherent dipole-dipole coupling between two single atoms at a Förster resonance
- Many-body quantum chaos: Analytic connection to random matrix theory
- Cross-Platform Verification of Intermediate Scale Quantum Devices
- Measurement of many-body chaos using a quantum clock
- Quantum magnetism and topological ordering via enhanced Rydberg-dressing near Förster-resonances
- Variational spin-squeezing algorithms on programmable quantum sensors
- Towards quantum simulation with circular Rydberg atoms
- Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas
- Measurement Protocol for the Entanglement Spectrum of Cold Atoms
- A Floquet Model for the Many-Body Localization Transition
- Many-body Physics with Alkaline-Earth Rydberg lattices
- An atomic array optical clock with single-atom readout
- Interferometric Measurements of Many-body Topological Invariants using Mobile Impurities
- A Coherent Quantum Annealer with Rydberg Atoms
- Coherent Imaging Spectroscopy of a Quantum Many-Body Spin System
- Two-Atom Rydberg Blockade using Direct 6S to nP Excitation
- Relaxation of an isolated dipolar-interacting Rydberg quantum spin system
- Quantum measurement of a mesoscopic spin ensemble
- Rydberg-dressing of atoms in optical lattices
- Spectroscopy of interacting quasiparticles in trapped ions
- Laser Trapping of Circular Rydberg Atoms
- Asymmetric blockade and multi-qubit gates via dipole-dipole interactions
- Floquet Thermalization: Symmetries and Random Matrix Ensembles
- Loschmidt Echo in Many-Body Localized Phase
- Probing the Full Distribution of Many-Body Observables by Single-Qubit Interferometry
- Quantum Non-demolition Measurement of a Many-Body Hamiltonian
- Nondestructive cooling of an atomic quantum register via state-insensitive Rydberg interactions
- Magic distances in the blockade mechanism of Rydberg p and d states
- Indium tin oxide films meet circular Rydberg atoms: prospects for novel quantum simulation schemes
- Quantum generative model for sampling many-body spectral functions
Cited by in corpus (31)
- Quantum chaos challenges many-body localization
- Quantum simulation and computing with Rydberg-interacting qubits
- Dynamical obstruction to localization in a disordered spin chain
- Noisy intermediate-scale quantum computers
- Quantum Dynamics in Krylov Space: Methods and Applications
- Probing many-body quantum chaos with quantum simulators
- Asymmetric blockade and multi-qubit gates via dipole-dipole interactions
- Many-body quantum chaos and emergence of Ginibre ensemble
- Many-body quantum chaos in stroboscopically-driven cold atoms
- Many-Body Quantum Chaos and Space-time Translational Invariance
- Dynamical quantum ergodicity from energy level statistics
- Scale-invariant critical dynamics at eigenstate transitions
- Driving quantum systems with repeated conditional measurements
- Proposal for many-body quantum chaos detection
- Exact universal bounds on quantum dynamics and fast scrambling
- Probing quantum chaos in multipartite systems
- Universal Properties of the Spectral Form Factor in Open Quantum Systems
- Single-Particle Universality of the Many-Body Spectral Form Factor
- Eigenstate Correlations in Dual-Unitary Quantum Circuits: Partial Spectral Form Factor
- Excited state quantum phase transition and Loschmidt echo spectra in a spinor Bose-Einstein condensate
- Exact spectral form factors of non-interacting fermions with Dyson statistics
- Kernel-Function Based Quantum Algorithms for Finite Temperature Quantum Simulation
- Facilitation Induced Transparency and Single Photon Switch with Dual-Channel Rydberg Interactions
- Critical quantum dynamics of observables at eigenstate transitions
- Anomalous energy correlations and spectral form factor in the nonergodic phase of the -ensemble
- Chaotic Roots of the Modular Multiplication Dynamical System in Shor's Algorithm
- Quantum-to-Classical Transition via Single-Shot Generalized Measurements
- Identifying mobility edge from finite temperature spectral form factor
- Quantum memory assisted observable estimation
- Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations
- Multipartite continuous-variable quantum nondemolition interaction and entanglement certification and monitoring